posted by @ulaulaman about #Turing #genetics #biology #evolution #morphogenesis reaction-diffusion system
I've just written a post about the theory of patterns in nature started by Alan Turing, and I describe the reaction-diffusion system: in the system there are an activator and an inhibitor molecule of morphogenesis. The dynamics between activator and inhibitor generates tha patterns and we can describe it with the following mathematica relation:
\[u_t = d \Delta u + f (\gamma, u)\]
where […]

Sheth, R., Marcon, L., Bastida, M., Junco, M., Quintana, L., Dahn, R., Kmita, M., Sharpe, J. & Ros, M. (2012). Hox Genes Regulate Digit Patterning by Controlling the Wavelength of a Turing-Type Mechanism, Science, 338 (6113) 1476-1480. DOI: 10.1126/science.1226804

Vogel, G. (2012). Turing Pattern Fingered for Digit Formation, Science, 338 (6113) 1406-1406. DOI: 10.1126/science.338.6113.1406

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